An agent sells life insurance policies to five equally aged, healthy people. According to recent date, the probability that a person lives in these conditions for 30 years or more is Then the probability that after 30 years exactly two people are s living is D 0.9591 0.0413 0.9915 O 0.9502

Q: certain insecticide kills 70% of all insects in laboratory experiments. A sample of 11 insects is…

A: Given that  q = 70% = 0.70 , p = 1 - q = 1 - 0.70 = 0.30 , n = 11 X ~ Binomial (n = 11 , p = 0.30) X…

Q: When rolling a number cube 800 times what is the probability that a 2 or 5 would be rolled

A: Total Number of faces = 6 P(2) =1/6 P(5)= 1/6 Now, Probability of 2 or 5 is: P(2∪5)=P(2)+P(5)-P(2∩5)…

Q: Suppose you receive a bouquet of flowers that contains 7 red roses, 12 white daisies, 2 yellow…

A: The first step in solving this problem is to determine the total number of flowers in the bouquet.…

Q: 100 people each have a probability of 0.01 of contracting a disease. What is the probability that…

A: Let the random variable X denote the no. of people contracting a disease and it follows binomial…

Q: If the probability that the Islanders will beat the Rangers in a game is 1/3, what is the…

A: Solution: Let X be the number of games Islanders will win in a against the Rangers and n be the…

Q: Find the probability that on 8 attempts, he will miss at least one

A: Given that p=75%=0.75, q=1-p=1-0.75=0.25, n=8 p be the probability of basketball player making a…

Q: Suppose that 60% of all California motorists are insured. Find the probability  that more than 55%…

A: given data  P(insured) = p = 0.60 sample size n = 100 P(p^>0.55) = ?

Q: The chance of rain is 20%, the chance of it being sunny is 60%, and the chance of it being sunny and…

A: Let us denote  R=rain S=sunny Given that P(R)=20%=0.20, P(S)=60%=0.60, P(R and S)=10%=0.10

Q: You roll a die five times. What is the probability that you will see a string of three or more…

A: Given data: *The die is rolled 5 times, n=5. The probability of getting one (success) when a one die…

Q: A certain insecticide kills 80% of all insects in laboratory experiments. A sample of 14 insects is…

A: Suppose a random variable x, defines the number of insects that will survive.

Q: The​ (hypothetical) table below shows the relationship between the number of hours students work at​…

A: Answer:- From the above information,  Number of students who graduates in over 6​ years and works…

Q: Suppose that on the average, 77 students enrolled in a small liberal arts college have their…

A: Answer:- Given , The average number of  students enrolled in a small liberal arts college have their…

Q: Suppose there is a disease, whose average incidence is 1 per million people. What is the probability…

A: Given Suppose there is a disease, whose average incidence is 1 per million people.

Q: A courier service makes an average of 500 deliveries a week, plus / minus 50. The manager wants to…

A: Given information: The average of 500 deliveries a week plus/minus 50. That is, mean is 500 and…

Q: Forty-two percent of runaways in the United Stated are male. If 20 runaways are selected at random,…

A: Givenp=42%=0.42sample size(n)=20x~Binomial(n=20,p=0.42)P(X=x)=(nx)×px×(1-p)n-x     ; x=0,1,...,n

Q: Suppose that it rains in Spain an average of once every 11 days, and when it does, hurricanes have a…

A:

Q: The probability that a patient recovers from a rare blood disease is 0.4. If 15 people are known to…

A:

Q: Suppose that at a college, 55% of the students earn a degree at the end of four years and 27% earn a…

A: It is given that, at a college 55% of the students earn a degree at the end of four years.

Q: 67% of all bald eagles survive their first year of life. Give your answers as decimals, not…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: Traffic on highway 64 during rush hour travels at 70 miles/hour. The Missouri Department of…

A: When the problem is about the number of anything, then usually we consider a discrete probability…

Q: ccident in a city is 7 during half a day.. he next 24 hours?

A:

Q: A die is thrown twice. Find the probability that 5 may not come either time.

A:

Q: if a baseball player's batting average is 0.320 find the probability that the player will get…

A: Solution-: Given: n=100, p=0.320 We want to find P( exactly 24 hits in 100 times at bat)=?

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!